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Find the solution set for the inequality 2x + 3 ≥ 7.

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Question: Find the solution set for the inequality 2x + 3 ≥ 7.

Options:

  1. x < 2
  2. x > 2
  3. x ≤ 2
  4. x ≥ 2

Correct Answer: x ≥ 2

Solution: 

2x + 3 ≥ 7 => 2x ≥ 4 => x ≥ 2.

Find the solution set for the inequality 2x + 3 ≥ 7.

Practice Questions

Q1
Find the solution set for the inequality 2x + 3 ≥ 7.
  1. x < 2
  2. x > 2
  3. x ≤ 2
  4. x ≥ 2

Questions & Step-by-Step Solutions

Find the solution set for the inequality 2x + 3 ≥ 7.
Correct Answer: x ≥ 2
  • Step 1: Start with the inequality 2x + 3 ≥ 7.
  • Step 2: Subtract 3 from both sides to isolate the term with x. This gives you 2x ≥ 7 - 3.
  • Step 3: Simplify the right side. Now you have 2x ≥ 4.
  • Step 4: Divide both sides by 2 to solve for x. This gives you x ≥ 4 / 2.
  • Step 5: Simplify the right side. Now you have x ≥ 2.
  • Inequalities – Understanding how to manipulate and solve inequalities, including isolating the variable.
  • Algebraic Manipulation – Applying basic algebraic operations to both sides of an inequality.
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